You can do it this way, though you will need to maintain some counter variable outside of the main expression.
$counter = 0
Get-Service |
Select-Object @{ Name = "ID" ; Expression= {$global:counter; $global:counter++} }, Status, Name, DisplayName |
Format-Table -Autosize
Another option, which is perhaps cleaner
Get-Service `
|% {$counter = -1} {$counter++; $_ | Add-Member -Name ID -Value $counter -MemberType NoteProperty -PassThru} `
| Format-Table ID